264300768 has 144 divisors (see below), whose sum is σ = 817886160. Its totient is φ = 80621568.

The previous prime is 264300737. The next prime is 264300769. The reversal of 264300768 is 867003462.

264300768 is a `hidden beast` number, since 2 + 643 + 0 + 0 + 7 + 6 + 8 = 666.

264300768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264300769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180423 + ... + 181881.

It is an arithmetic number, because the mean of its divisors is an integer number (5679765).

Almost surely, 2^264300768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264300768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408943080).

264300768 is an abundant number, since it is smaller than the sum of its proper divisors (553585392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264300768 is a wasteful number, since it uses less digits than its factorization.

264300768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 264300768 is about 16257.3296700288. The cubic root of 264300768 is about 641.7503906345.

The spelling of 264300768 in words is "two hundred sixty-four million, three hundred thousand, seven hundred sixty-eight".